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Finding the Third Proportional to 99,203.06 and 149,698.97

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Solution

The third proportional to 99,203.06 and 149,698.97 is: 225,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,203.06 : 149,698.97 = 149,698.97 : x
  2. Step 2: Convert to fraction form
    99,203.06/149,698.97 = 149,698.97/x
  3. Step 3: Cross multiply
    99,203.06x = 149,698.97 × 149,698.97
  4. Step 4: Simplify right side
    99,203.06x = 22,409,781,244.81
  5. Step 5: Solve for x
    x = 22,409,781,244.81/99,203.06
  6. Step 6: Final answer
    x = 225,898.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.